Hi Dave,
I realise that you are a very experienced cleaner and find that I am nearly always in complete agreement with your posts.
We all work in a manner in which we feel most comfortable, and often there are many right ways in going about the job. You mentioned that you clean the carcase of a suite and then the cushions - I do things the other way about.
I use the carcase as a workbench whilst cleaning the cushions of one piece, placing each cushion before a blower, then clean that carcase, by which time these cushions are nearly dry. They are placed in front of the just-cleaned carcase and the blower directed over the unit.
I then move on to the next unit, which is cleaned in the same order. By the time the last piece is cleaned that will be the only one still damp an the blower will dry that whilst I load the van.
I do it in this manner because the single-layer cover of much of the carcase will dry much quicker than the cushions and it is the cushions that are first to receive body contact when the suite is brought back into use.
I find that this approach allows me to have most suites completely ready for use before I drive away, but in the worst case there will be one unit only that requires more drying time, and there is normally one piece of a suite that is seldom used - this is the one I clean last.
I turn off the machine by remote control, which is easier to arrange with electrically powered equipment, but try reversing the order of your normal practise, and you should find the the suite dries quicker.